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Finding the Fourth Proportional to 285,478.64, 393,931.86 and 158,130.44

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Solution

The fourth proportional to 285,478.64, 393,931.86 and 158,130.44 is: 218,204.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,478.64 : 393,931.86 = 158,130.44 : x
  2. Step 2: Convert to fraction form
    285,478.64/393,931.86 = 158,130.44/x
  3. Step 3: Cross multiply
    285,478.64x = 393,931.86 × 158,130.44
  4. Step 4: Simplify right side
    285,478.64x = 62,292,618,351.82
  5. Step 5: Solve for x
    x = 62,292,618,351.82/285,478.64
  6. Step 6: Final answer
    x = 218,204.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.